A new parametric generalized exponential entropy measure on intuitionistic vague sets

Entropy is a significant mathematical instrument for determining ambiguous/fuzzy information. Entropy is indispensable for measuring ambiguity, first familiarized by Shannon (Syst Tech J 27:379–423, 1948) to extent the degree of uncertainty in likelihood distributions. Complex info processes are extensively pragmatic in decision-making processes. Created as per the notion of an exponential exponent for the fuzzy set, our exertion offers a measure of the power of an intuitive set of exponents. This article identifies a new measure of the exponential theorem on an intuitive set of equations. In addition, the necessary properties are displayed. By analyzing the results of the examples, it has been shown that this method is faster and more effective in practice.

[1]  Janusz Kacprzyk,et al.  Entropy for intuitionistic fuzzy sets , 2001, Fuzzy Sets Syst..

[2]  Anil Kumar,et al.  Analysis of Fuzzy Logic Based Intrusion Detection Systems in Mobile Ad Hoc Networks , 2014 .

[3]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[4]  Nikhil R. Pal,et al.  Some new information measures for fuzzy sets , 1993, Inf. Sci..

[5]  H. D. Arora,et al.  On some generalised exponential entropy for fuzzy sets , 2014, Proceedings of 3rd International Conference on Reliability, Infocom Technologies and Optimization.

[6]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[7]  David L. Olson,et al.  Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis , 2007, Pattern Recognit. Lett..

[8]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[9]  Humberto Bustince,et al.  Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets , 1996, Fuzzy Sets Syst..

[10]  A. K. Ray,et al.  A new measure using intuitionistic fuzzy set theory and its application to edge detection , 2008, Appl. Soft Comput..

[11]  Jun Ye,et al.  Two effective measures of intuitionistic fuzzy entropy , 2010, Computing.

[12]  Miin-Shen Yang,et al.  Fuzzy entropy on intuitionistic fuzzy sets , 2006, Int. J. Intell. Syst..

[13]  Anshu Ohlan,et al.  Generalizations of Fuzzy Information Measures , 2016, Springer International Publishing.

[14]  Settimo Termini,et al.  A Definition of a Nonprobabilistic Entropy in the Setting of Fuzzy Sets Theory , 1972, Inf. Control..

[15]  Inder Jeet Taneja,et al.  Entropy of type (α, β) and other generalized measures in information theory , 1975 .

[16]  V. P. Tomar,et al.  Fuzzy entropy with order and degree for intuitionistic fuzzy set , 2019, ADVANCES IN BASIC SCIENCE (ICABS 2019).

[17]  Peter McMullen,et al.  SPACE TILING ZONOTOPES , 1975 .

[18]  Ranjit Biswas,et al.  An application of intuitionistic fuzzy sets in medical diagnosis , 2001, Fuzzy Sets Syst..

[19]  Rajkumar Verma,et al.  Exponential entropy on intuitionistic fuzzy sets , 2013, Kybernetika.

[20]  Jordi Grau-Moya,et al.  Non-Equilibrium Relations for Bounded Rational Decision-Making in Changing Environments , 2017, Entropy.

[21]  S. Pal,et al.  Object-background segmentation using new definitions of entropy , 1989 .

[22]  Rajkumar Verma,et al.  On Generalized Exponential Fuzzy Entropy , 2011 .

[23]  Suguru Arimoto,et al.  Information-Theoretical Considerations on Estimation Problems , 1971, Inf. Control..

[24]  Baoding Liu Toward uncertain finance theory , 2013 .

[25]  Ioannis K. Vlachos,et al.  Intuitionistic fuzzy information - Applications to pattern recognition , 2007, Pattern Recognit. Lett..